631416384 has 105 divisors (see below), whose sum is σ = 1877094417. Its totient is φ = 209869056.

The previous prime is 631416367. The next prime is 631416413. The reversal of 631416384 is 483614136.

It is a happy number.

The square root of 631416384 is 25128.

It is a perfect power (a square), and thus also a powerful number.

631416384 is a `hidden beast` number, since 6 + 3 + 14 + 1 + 638 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 463454784 + 167961600 = 21528^2 + 12960^2 .

It is a super-3 number, since 3×631416384³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1809042 + ... + 1809390.

Almost surely, 2^631416384 is an apocalyptic number.

631416384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

631416384 is the 25128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631416384

631416384 is an abundant number, since it is smaller than the sum of its proper divisors (1245678033).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

631416384 is an frugal number, since it uses more digits than its factorization.

631416384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 354 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The cubic root of 631416384 is about 857.9038476044.

Multiplying 631416384 by its sum of digits (36), we get a square (22730989824 = 150768²).

631416384 divided by its sum of digits (36) gives a square (17539344 = 4188²).

The spelling of 631416384 in words is "six hundred thirty-one million, four hundred sixteen thousand, three hundred eighty-four".